Controlling Strong Chaos by Adaptive Coupling Method in the Perturbed Cat Map
XU Hai-Bo1,2, WANG Guang-Rui2, CHEN Shi-Gang2
1Graduate School, China Academy of Engineering Physics, P.O. Box 2101, Beijing 100088
2Center for Nonlinear Studies, Institute of Applied Physics and Computational Mathematics, Beijing 100088
Controlling Strong Chaos by Adaptive Coupling Method in the Perturbed Cat Map
XU Hai-Bo1,2;WANG Guang-Rui2;CHEN Shi-Gang2
1Graduate School, China Academy of Engineering Physics, P.O. Box 2101, Beijing 100088
2Center for Nonlinear Studies, Institute of Applied Physics and Computational Mathematics, Beijing 100088
Abstract： The method for controlling Hamiltonian chaos by adaptive integrable mode coupling is extended to controlling strong chaos by adaptive integrable and near-integrable mode coupling. We illustrate this method with a highly chaotic system, the perturbed cat map. All orbits can be effectively controlled to the periodic or quasiperiodic orbits. The method is robust against the presence of weak external noise.
2001, Vol. 18 
